GCD of 650, 890, 162, 668 Calculator

Given Input numbers are 650, 890, 162, 668

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Greatest Common Divisior

We found the divisors of 650, 890, 162, 668 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 650, 890, 162, 668 is 2.

Therefore, GCD of numbers 650, 890, 162, 668 is 2

Given Input Data is 650, 890, 162, 668

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 650 is 2 x 5 x 5 x 13

Prime Factorization of 890 is 2 x 5 x 89

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

Prime Factorization of 668 is 2 x 2 x 167

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(650, 890) = 57850

GCD(650, 890) = ( 650 x 890 ) / 57850

GCD(650, 890) = 578500 / 57850

GCD(650, 890) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 162

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(10, 162) = 810

GCD(10, 162) = ( 10 x 162 ) / 810

GCD(10, 162) = 1620 / 810

GCD(10, 162) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 668

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 668) = 668

GCD(2, 668) = ( 2 x 668 ) / 668

GCD(2, 668) = 1336 / 668

GCD(2, 668) = 2

GCD of 650, 890, 162, 668 is 2

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1. What is the GCD of 650, 890, 162, 668?

GCD of 650, 890, 162, 668 is 2

2. Where do I get the detailed procedure to find GCD of 650, 890, 162, 668?

You can find a detailed procedure to find GCD of 650, 890, 162, 668 on our page.

3. How to find GCD of 650, 890, 162, 668 on a calculator?

You can find the GCD of 650, 890, 162, 668 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.